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Given a sequence ofndistinct numbersa1, a2, ..., an, an inversion is a pair of numbersaiandaj, wherei > jandai< aj. That is, if the sequence is in ascending order then there is no inversion.(a) Design an algorithm to count the number of inversions in a given sequence which runs inO(n2) time.(a)
Design a divide-and-conquer algorithm to count the number of inversions in a given sequencewhich runs inO(nlogn) time.

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